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Finding the Fourth Proportional to 162.98, 224.93 and 93.05

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Solution

The fourth proportional to 162.98, 224.93 and 93.05 is: 128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 224.93 = 93.05 : x
  2. Step 2: Convert to fraction form
    162.98/224.93 = 93.05/x
  3. Step 3: Cross multiply
    162.98x = 224.93 × 93.05
  4. Step 4: Simplify right side
    162.98x = 20,928.15
  5. Step 5: Solve for x
    x = 20,928.15/162.98
  6. Step 6: Final answer
    x = 128.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.